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A Poisson structure on compact symmetric spaces

Philip Foth·Jiang-Hua Lu
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Abstract

We present some basic results on a natural Poisson structure on any compact symmetric space. The symplectic leaves of this structure are related to the orbits of the corresponding real semisimple group on the complex flag manifold.

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Philip Foth, Jiang-Hua Lu. 2003-09-24. A Poisson structure on compact symmetric spaces. https://arxiv.org/abs/math/0208051

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